Question

lcm of x²+xy+yz+zx, y²+xy+yz+zx, z²+xy+yz+zx

Answer 1

This question can be easily solved by applying the identity :

=> ( x + y + z )² = x² + y² + z² + 2 ( xy + yz + zx )

Given in the question :

--» x + y + z = 9

--» xy + yz + zx = 26

=> ( 9 )² = x² + y² + z² + 2 ( 26 )

=> 81 = x² + y² + z² + 52

=> x² + y² + z² = 81 - 52

♦ 29. is the required answer .